Question

The sequence 1/6, -2/7, 3/8, -4/9,… is given.Is the sign of f(53) positive or negative? Justify your reasoning mathematically without determining the value of f(53).

Answer 1

Given:

The sequence 1/6, -2/7, 3/8, -4/9,…

To find the sign of f(53):

From the sequence, we observe that,

Sign of an odd number 1, 3, 5... is positive.

Hence, the sign of f(53) is positive.